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On noncooperative equilibria in ordinal games
SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218), 2002This paper aims at studying noncooperative equilibria in ordinal games. We first define the notion of noncooperative equilibrium in ordinal games, study its properties, and then propose an algorithm for finding out all ordinal noncooperative equilibria in two-person and three-person ordinal games.
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Ordinal equivalence of power notions in voting games
Theory and Decision, 2002The authors consider \textit{voting games} in the form \((N,W)\) where \(N\) is a finite set of \textit{voters} and \(W\) is a class of \textit{winning coalitions} in \(N\). With each voting game, a cooperative game \((N,v)\) is associated by putting: \(v(S)=1\) for all winning coalitions \(S\subset N\) and \(v(S)=0\) for others.
Diffo Lambo, Lawrence, Moulen, Joël
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On continuous ordinal potential games [PDF]
If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.
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An Ordinal Bargaining Set for Games Without Side Payments
Mathematics of Operations Research, 1976Billera (Billera, L. J. 1968. On cores and bargaining sets for N-person cooperative games without side payments. Ph.D. dissertation, The City University of New York, 1968; Billera, L. J. 1970. Existence of general bargaining sets for cooperative games without side payments. Bull. Amer. Math. Soc. 76 375–379.] proposed a simple bargaining set for games
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Collision Avoidance as a Game of Co-ordination
Journal of Navigation, 1981The literature of the recent past concerned with the collision avoidance regulations cannot be regarded as the model of rational scientific discussion. Subjective arguments based on personal experience of particular situations and very general mathematical analyses are pitted together without any generally accepted criteria by which to judge them ...
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Fraudulent Democracy: A Dynamic Ordinal Game Approach [PDF]
We propose a model of political competition and stability in nominally democratic societies characterized by fraudulent elections. In each election, an opposition leader is pitted against the leader in power. If the latter wins, he remains in power, which automatically makes him the incumbent candidate in the next election as there are no term limits ...
Moyouwou, Issofa +2 more
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2x2 games with uncertain ordinal preferences
The 2002 International Conference on Control and Automation, 2002. ICCA. Final Program and Book of Abstracts., 2005K.W. Li +3 more
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On the uniqueness of Nash equilibrium in discontinuous ordinal and normal form games
Economic Theory Bulletin, 2019Vincenzo Scalzo
exaly

